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Finding the Fourth Proportional to 333,228.31, 459,787.12 and 197,194.17

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Solution

The fourth proportional to 333,228.31, 459,787.12 and 197,194.17 is: 272,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,228.31 : 459,787.12 = 197,194.17 : x
  2. Step 2: Convert to fraction form
    333,228.31/459,787.12 = 197,194.17/x
  3. Step 3: Cross multiply
    333,228.31x = 459,787.12 × 197,194.17
  4. Step 4: Simplify right side
    333,228.31x = 90,667,339,505.09
  5. Step 5: Solve for x
    x = 90,667,339,505.09/333,228.31
  6. Step 6: Final answer
    x = 272,087.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.